# On sliced spaces: Global Hyperbolicity revisited

## TL;DR

This paper establishes a topological criterion for when a sliced space is globally hyperbolic, removing the need for assumptions on lapse, shift, or spatial metric functions.

## Contribution

It introduces a new topological condition that guarantees global hyperbolicity in sliced spaces without relying on metric-specific hypotheses.

## Key findings

- Provides a topological criterion for global hyperbolicity
- Eliminates the need for lapse, shift, and spatial metric assumptions
- Enhances understanding of the structure of sliced spaces

## Abstract

We give a topological condition for a generic sliced space to be globally hyperbolic, without any hypothesis on the lapse function, shift function and spatial metric.